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# is xy < 6? i) x<3 and y<2 ii) 1/2 < x < 2/3

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Manager
Joined: 14 Mar 2008
Posts: 131
is xy < 6? i) x<3 and y<2 ii) 1/2 < x < 2/3 [#permalink]

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04 Apr 2008, 10:46
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is xy < 6?

i) x<3 and y<2
ii) 1/2 < x < 2/3 and y^2 < 6

I chose D....it's wrong according to OA. Can someone shed some light?
CEO
Joined: 17 Nov 2007
Posts: 3584
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40

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04 Apr 2008, 10:58
B

the fist condition: x=1, y=1 --> xy=1<6; x=-10, y=-10 xy=100>6 insufficient.
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SVP
Joined: 28 Dec 2005
Posts: 1558

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06 Apr 2008, 20:34
i say B as well

from stat 1, we could have x=-3 and y=2, so xy=6 , etc. insuff

from 2, 0.5<x<0.666 and -3<y<3. The most xy can be is 3*2/3 , which is 2. So, suff in the end.
Re: DS: XY<6   [#permalink] 06 Apr 2008, 20:34
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